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Finding the Third Proportional to 122,959.69 and 264,780.56

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Solution

The third proportional to 122,959.69 and 264,780.56 is: 570,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,959.69 : 264,780.56 = 264,780.56 : x
  2. Step 2: Convert to fraction form
    122,959.69/264,780.56 = 264,780.56/x
  3. Step 3: Cross multiply
    122,959.69x = 264,780.56 × 264,780.56
  4. Step 4: Simplify right side
    122,959.69x = 70,108,746,277.82
  5. Step 5: Solve for x
    x = 70,108,746,277.82/122,959.69
  6. Step 6: Final answer
    x = 570,176.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.